Question: Use the simplex method to solve. (You may need to use artificial variables) You may use an applet or something from the internet to help you, but you must explain each step. If you have it worked without an explanation for each step, you will receive no credit.

\(\begin{aligned} & Minimize:w=3{{y}_{1}}+{{y}_{2}} \\ & subject\,\,to:{{y}_{1}}\,\,\,\,+{{y}_{2}}\,\,\,\,\ge 5 \\ & 3{{y}_{1}}+6{{y}_{2}}\le 18 \\ & {{y}_{1}}\ge 0,\,\,{{y}_{2}}\ge 0 \\ \end{aligned}\)